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  4. In a Young's double slit experiment, a laser light of 560 nm produces an interference pattern with consecutive bright fringes' separation of 7.2 mm. Now another light is used to produce an interference pattern with consecutive bright fringes' separation of 8.1 mm. The wavelength of second light is nm.

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Q. In a Young's double slit experiment, a laser light of $560\, nm$ produces an interference pattern with consecutive bright fringes' separation of $7.2 \,mm$. Now another light is used to produce an interference pattern with consecutive bright fringes' separation of $8.1\,mm$. The wavelength of second light is ___$nm$.

JEE MainJEE Main 2022Wave Optics

Solution:

$ \beta \propto \lambda$
$ \lambda_2=\frac{9}{8} \lambda_1 $
$ \therefore \beta_2=\frac{9}{8} \beta_1=\frac{9}{8} \times 560=630 \,nm $